But football wasn't the only thing on Andrew's mind - he also spotted a church on a nearby shore and started planning their wedding.

"If that's a church... can you get married there?" he asked their guide.

Caroline Flack and Andrew Brady set off on a romantic sunset cruise (Image: Flynet)

Earlier they'd been spotted rowing on holiday (Image: Instagram)

The couple got engaged after just 12 weeks of dating and after making their exciting news public last week, the lovebirds jetted off to the Greek island where they have been busy flaunting their romance.

But a fellow holiday maker was left stunned when after spotting the couple arguing in the street in broad daylight.

An onlooker said the row appeared to have started over Andrew's 'erratic' golf buggy driving.

He was even planning their wedding on the trip (Image: Instagram)

Caroline said she's living 'the dream' (Image: Instagram)

They were larking around (Image: Instagram)

"They're obviously on a romantic engagement holiday but something appeared to have riled them up," a source told The Sun.

"They had been driving a small golf-style buggy, which are quite popular in the area, when something obviously wound Caroline right up and she really lost her temper with him."

They relaxed on the boat trip in Santorini (Image: Flynet)

They kissed and made up (Image: Flynet)

The lovers exchanged "cross words" and there was plenty of body language to indicate Caroline was definitely Not Happy, the witness said.

"In the end she hopped into a cab and headed off, presumably back to wherever they're staying, while he was left on his own."

It's not the first time Caroline and Andrew have exchanged stern words in public.

In March the pair were papped arguing furiously outside a restaurant in east London.

Andrew brought his Liverpool football scarf along (Image: Instagram)

He was still supporting his home team even while sunbathing (Image: Instagram)